Minkovskii-type inequality for arbitrary density matrix of composite and noncomposite systems
V. N. Chernega, O. V. Man'ko, V. I. Man'ko
TL;DR
This paper introduces a new matrix inequality applicable to both composite and noncomposite qudit systems, expanding the mathematical tools available for analyzing quantum states beyond bipartite systems.
Contribution
It generalizes Minkovskii-type inequalities to arbitrary density matrices, including single qudit states, for the first time.
Findings
Derived a new inequality for arbitrary density matrices.
Applied the inequality to two-qubit and qudit systems.
Demonstrated the inequality's relevance to non-bipartite systems.
Abstract
New kind of matrix inequality known for bipartite system density matrix is obtained for arbitrary density matrix of composite or noncomposite qudit systems including the single qudit state. The examples of two qubit system and qudit with j=3/2 are discussed.
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